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What is the Least Common Multiple of 70620 and 70639?

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 70620 and 70639 is 4988526180.

LCM(70620,70639) = 4988526180

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Least Common Multiple of 70620 and 70639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70620 and 70639, than apply into the LCM equation.

GCF(70620,70639) = 1
LCM(70620,70639) = ( 70620 × 70639) / 1
LCM(70620,70639) = 4988526180 / 1
LCM(70620,70639) = 4988526180

Least Common Multiple (LCM) of 70620 and 70639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70620 and 70639. First we will calculate the prime factors of 70620 and 70639.

Prime Factorization of 70620

Prime factors of 70620 are 2, 3, 5, 11, 107. Prime factorization of 70620 in exponential form is:

70620 = 22 × 31 × 51 × 111 × 1071

Prime Factorization of 70639

Prime factors of 70639 are 70639. Prime factorization of 70639 in exponential form is:

70639 = 706391

Now multiplying the highest exponent prime factors to calculate the LCM of 70620 and 70639.

LCM(70620,70639) = 22 × 31 × 51 × 111 × 1071 × 706391
LCM(70620,70639) = 4988526180