What is the Least Common Multiple of 79518 and 79531?

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 79518 and 79531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79518 and 79531, than apply into the LCM equation.

GCF(79518,79531) = 1
LCM(79518,79531) = ( 79518 × 79531) / 1
LCM(79518,79531) = 6324146058 / 1
LCM(79518,79531) = 6324146058

Least Common Multiple (LCM) of 79518 and 79531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79518 and 79531. First we will calculate the prime factors of 79518 and 79531.

Prime Factorization of 79518

Prime Factorization of 79531

Now multiplying the highest exponent prime factors to calculate the LCM of 79518 and 79531.

LCM(79518,79531) = 2¹ × 3¹ × 29¹ × 457¹ × 79531¹
LCM(79518,79531) = 6324146058