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What is the Least Common Multiple of 70157 and 70171?

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 70157 and 70171 is 4922986847.

LCM(70157,70171) = 4922986847

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Least Common Multiple of 70157 and 70171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70157 and 70171, than apply into the LCM equation.

GCF(70157,70171) = 1
LCM(70157,70171) = ( 70157 × 70171) / 1
LCM(70157,70171) = 4922986847 / 1
LCM(70157,70171) = 4922986847

Least Common Multiple (LCM) of 70157 and 70171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70157 and 70171. First we will calculate the prime factors of 70157 and 70171.

Prime Factorization of 70157

Prime factors of 70157 are 70157. Prime factorization of 70157 in exponential form is:

70157 = 701571

Prime Factorization of 70171

Prime factors of 70171 are 47, 1493. Prime factorization of 70171 in exponential form is:

70171 = 471 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 70157 and 70171.

LCM(70157,70171) = 701571 × 471 × 14931
LCM(70157,70171) = 4922986847