What is the Least Common Multiple of 79473 and 79493?

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 79473 and 79493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79473 and 79493, than apply into the LCM equation.

GCF(79473,79493) = 1
LCM(79473,79493) = ( 79473 × 79493) / 1
LCM(79473,79493) = 6317547189 / 1
LCM(79473,79493) = 6317547189

Least Common Multiple (LCM) of 79473 and 79493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79473 and 79493. First we will calculate the prime factors of 79473 and 79493.

Prime Factorization of 79473

Prime Factorization of 79493

Now multiplying the highest exponent prime factors to calculate the LCM of 79473 and 79493.

LCM(79473,79493) = 3¹ × 59¹ × 449¹ × 79493¹
LCM(79473,79493) = 6317547189