What is the Least Common Multiple of 68457 and 68469?

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 68457 and 68469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68457 and 68469, than apply into the LCM equation.

GCF(68457,68469) = 3
LCM(68457,68469) = ( 68457 × 68469) / 3
LCM(68457,68469) = 4687182333 / 3
LCM(68457,68469) = 1562394111

Least Common Multiple (LCM) of 68457 and 68469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68457 and 68469. First we will calculate the prime factors of 68457 and 68469.

Prime Factorization of 68457

Prime Factorization of 68469

Now multiplying the highest exponent prime factors to calculate the LCM of 68457 and 68469.

LCM(68457,68469) = 3¹ × 19¹ × 1201¹ × 29¹ × 787¹
LCM(68457,68469) = 1562394111