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What is the Least Common Multiple of 95037 and 95057?

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 95037 and 95057 is 9033932109.

LCM(95037,95057) = 9033932109

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Least Common Multiple of 95037 and 95057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95037 and 95057, than apply into the LCM equation.

GCF(95037,95057) = 1
LCM(95037,95057) = ( 95037 × 95057) / 1
LCM(95037,95057) = 9033932109 / 1
LCM(95037,95057) = 9033932109

Least Common Multiple (LCM) of 95037 and 95057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95037 and 95057. First we will calculate the prime factors of 95037 and 95057.

Prime Factorization of 95037

Prime factors of 95037 are 3, 79, 401. Prime factorization of 95037 in exponential form is:

95037 = 31 × 791 × 4011

Prime Factorization of 95057

Prime factors of 95057 are 19, 5003. Prime factorization of 95057 in exponential form is:

95057 = 191 × 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 95037 and 95057.

LCM(95037,95057) = 31 × 791 × 4011 × 191 × 50031
LCM(95037,95057) = 9033932109