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What is the Least Common Multiple of 79053 and 79070?

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 79053 and 79070 is 6250720710.

LCM(79053,79070) = 6250720710

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Least Common Multiple of 79053 and 79070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79053 and 79070, than apply into the LCM equation.

GCF(79053,79070) = 1
LCM(79053,79070) = ( 79053 × 79070) / 1
LCM(79053,79070) = 6250720710 / 1
LCM(79053,79070) = 6250720710

Least Common Multiple (LCM) of 79053 and 79070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79053 and 79070. First we will calculate the prime factors of 79053 and 79070.

Prime Factorization of 79053

Prime factors of 79053 are 3, 13, 2027. Prime factorization of 79053 in exponential form is:

79053 = 31 × 131 × 20271

Prime Factorization of 79070

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

79070 = 21 × 51 × 79071

Now multiplying the highest exponent prime factors to calculate the LCM of 79053 and 79070.

LCM(79053,79070) = 31 × 131 × 20271 × 21 × 51 × 79071
LCM(79053,79070) = 6250720710