What is the Least Common Multiple of 59432 and 59437?
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 59432 and 59437 is 3532459784.
LCM(59432,59437) = 3532459784
Least Common Multiple of 59432 and 59437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59432 and 59437, than apply into the LCM equation.
GCF(59432,59437) = 1
LCM(59432,59437) = ( 59432 × 59437) / 1
LCM(59432,59437) = 3532459784 / 1
LCM(59432,59437) = 3532459784
Least Common Multiple (LCM) of 59432 and 59437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59432 and 59437. First we will calculate the prime factors of 59432 and 59437.
Prime Factorization of 59432
Prime factors of 59432 are 2, 17, 19, 23. Prime factorization of 59432 in exponential form is:
59432 = 23 × 171 × 191 × 231
Prime Factorization of 59437
Prime factors of 59437 are 7, 1213. Prime factorization of 59437 in exponential form is:
59437 = 72 × 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 59432 and 59437.
LCM(59432,59437) = 23 × 171 × 191 × 231 × 72 × 12131
LCM(59432,59437) = 3532459784
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