What is the Least Common Multiple of 4360 and 4370?
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 4360 and 4370 is 1905320.
LCM(4360,4370) = 1905320
Least Common Multiple of 4360 and 4370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4360 and 4370, than apply into the LCM equation.
GCF(4360,4370) = 10
LCM(4360,4370) = ( 4360 × 4370) / 10
LCM(4360,4370) = 19053200 / 10
LCM(4360,4370) = 1905320
Least Common Multiple (LCM) of 4360 and 4370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4360 and 4370. First we will calculate the prime factors of 4360 and 4370.
Prime Factorization of 4360
Prime factors of 4360 are 2, 5, 109. Prime factorization of 4360 in exponential form is:
4360 = 23 × 51 × 1091
Prime Factorization of 4370
Prime factors of 4370 are 2, 5, 19, 23. Prime factorization of 4370 in exponential form is:
4370 = 21 × 51 × 191 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 4360 and 4370.
LCM(4360,4370) = 23 × 51 × 1091 × 191 × 231
LCM(4360,4370) = 1905320
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