What is the Least Common Multiple of 68478 and 68493?

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 68478 and 68493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68478 and 68493, than apply into the LCM equation.

GCF(68478,68493) = 3
LCM(68478,68493) = ( 68478 × 68493) / 3
LCM(68478,68493) = 4690263654 / 3
LCM(68478,68493) = 1563421218

Least Common Multiple (LCM) of 68478 and 68493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68478 and 68493. First we will calculate the prime factors of 68478 and 68493.

Prime Factorization of 68478

Prime Factorization of 68493

Now multiplying the highest exponent prime factors to calculate the LCM of 68478 and 68493.

LCM(68478,68493) = 2¹ × 3¹ × 101¹ × 113¹ × 17² × 79¹
LCM(68478,68493) = 1563421218