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What is the Least Common Multiple of 79070 and 79087?

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 79070 and 79087 is 6253409090.

LCM(79070,79087) = 6253409090

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Least Common Multiple of 79070 and 79087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79070 and 79087, than apply into the LCM equation.

GCF(79070,79087) = 1
LCM(79070,79087) = ( 79070 × 79087) / 1
LCM(79070,79087) = 6253409090 / 1
LCM(79070,79087) = 6253409090

Least Common Multiple (LCM) of 79070 and 79087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79070 and 79087. First we will calculate the prime factors of 79070 and 79087.

Prime Factorization of 79070

Prime factors of 79070 are 2, 5, 7907. Prime factorization of 79070 in exponential form is:

79070 = 21 × 51 × 79071

Prime Factorization of 79087

Prime factors of 79087 are 79087. Prime factorization of 79087 in exponential form is:

79087 = 790871

Now multiplying the highest exponent prime factors to calculate the LCM of 79070 and 79087.

LCM(79070,79087) = 21 × 51 × 79071 × 790871
LCM(79070,79087) = 6253409090