What is the Least Common Multiple of 79412 and 79430?

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 79412 and 79430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79412 and 79430, than apply into the LCM equation.

GCF(79412,79430) = 2
LCM(79412,79430) = ( 79412 × 79430) / 2
LCM(79412,79430) = 6307695160 / 2
LCM(79412,79430) = 3153847580

Least Common Multiple (LCM) of 79412 and 79430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79412 and 79430. First we will calculate the prime factors of 79412 and 79430.

Prime Factorization of 79412

Prime Factorization of 79430

Now multiplying the highest exponent prime factors to calculate the LCM of 79412 and 79430.

LCM(79412,79430) = 2² × 19853¹ × 5¹ × 13² × 47¹
LCM(79412,79430) = 3153847580