What is the Least Common Multiple of 37421 and 37430?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 37421 and 37430 is 1400668030.
LCM(37421,37430) = 1400668030
Least Common Multiple of 37421 and 37430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37421 and 37430, than apply into the LCM equation.
GCF(37421,37430) = 1
LCM(37421,37430) = ( 37421 × 37430) / 1
LCM(37421,37430) = 1400668030 / 1
LCM(37421,37430) = 1400668030
Least Common Multiple (LCM) of 37421 and 37430 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37421 and 37430. First we will calculate the prime factors of 37421 and 37430.
Prime Factorization of 37421
Prime factors of 37421 are 23, 1627. Prime factorization of 37421 in exponential form is:
37421 = 231 × 16271
Prime Factorization of 37430
Prime factors of 37430 are 2, 5, 19, 197. Prime factorization of 37430 in exponential form is:
37430 = 21 × 51 × 191 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 37421 and 37430.
LCM(37421,37430) = 231 × 16271 × 21 × 51 × 191 × 1971
LCM(37421,37430) = 1400668030
Related Least Common Multiples of 37421
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Related Least Common Multiples of 37430
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