What is the Least Common Multiple of 79142 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 of 79142 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 79142 and 79160, than apply into the LCM equation.

GCF(79142,79160) = 2
LCM(79142,79160) = ( 79142 × 79160) / 2
LCM(79142,79160) = 6264880720 / 2
LCM(79142,79160) = 3132440360

Least Common Multiple (LCM) of 79142 and 79160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79142 and 79160. First we will calculate the prime factors of 79142 and 79160.

Prime Factorization of 79142

Prime Factorization of 79160

Now multiplying the highest exponent prime factors to calculate the LCM of 79142 and 79160.

LCM(79142,79160) = 2³ × 7¹ × 5653¹ × 5¹ × 1979¹
LCM(79142,79160) = 3132440360