What is the Least Common Multiple of 68493 and 68502?

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 68493 and 68502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68493 and 68502, than apply into the LCM equation.

GCF(68493,68502) = 3
LCM(68493,68502) = ( 68493 × 68502) / 3
LCM(68493,68502) = 4691907486 / 3
LCM(68493,68502) = 1563969162

Least Common Multiple (LCM) of 68493 and 68502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68493 and 68502. First we will calculate the prime factors of 68493 and 68502.

Prime Factorization of 68493

Prime Factorization of 68502

Now multiplying the highest exponent prime factors to calculate the LCM of 68493 and 68502.

LCM(68493,68502) = 3¹ × 17² × 79¹ × 2¹ × 7² × 233¹
LCM(68493,68502) = 1563969162