What is the Least Common Multiple of 79626 and 79630?

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 79626 and 79630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79626 and 79630, than apply into the LCM equation.

GCF(79626,79630) = 2
LCM(79626,79630) = ( 79626 × 79630) / 2
LCM(79626,79630) = 6340618380 / 2
LCM(79626,79630) = 3170309190

Least Common Multiple (LCM) of 79626 and 79630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79626 and 79630. First we will calculate the prime factors of 79626 and 79630.

Prime Factorization of 79626

Prime Factorization of 79630

Now multiplying the highest exponent prime factors to calculate the LCM of 79626 and 79630.

LCM(79626,79630) = 2¹ × 3¹ × 23¹ × 577¹ × 5¹ × 7963¹
LCM(79626,79630) = 3170309190