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What is the Least Common Multiple of 79153 and 79160?

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 79153 and 79160 is 6265751480.

LCM(79153,79160) = 6265751480

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Least Common Multiple of 79153 and 79160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79153 and 79160, than apply into the LCM equation.

GCF(79153,79160) = 1
LCM(79153,79160) = ( 79153 × 79160) / 1
LCM(79153,79160) = 6265751480 / 1
LCM(79153,79160) = 6265751480

Least Common Multiple (LCM) of 79153 and 79160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79153 and 79160. First we will calculate the prime factors of 79153 and 79160.

Prime Factorization of 79153

Prime factors of 79153 are 79153. Prime factorization of 79153 in exponential form is:

79153 = 791531

Prime Factorization of 79160

Prime factors of 79160 are 2, 5, 1979. Prime factorization of 79160 in exponential form is:

79160 = 23 × 51 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 79153 and 79160.

LCM(79153,79160) = 791531 × 23 × 51 × 19791
LCM(79153,79160) = 6265751480