What is the Least Common Multiple of 68046 and 68057?

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 68046 and 68057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68046 and 68057, than apply into the LCM equation.

GCF(68046,68057) = 11
LCM(68046,68057) = ( 68046 × 68057) / 11
LCM(68046,68057) = 4631006622 / 11
LCM(68046,68057) = 421000602

Least Common Multiple (LCM) of 68046 and 68057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68046 and 68057. First we will calculate the prime factors of 68046 and 68057.

Prime Factorization of 68046

Prime Factorization of 68057

Now multiplying the highest exponent prime factors to calculate the LCM of 68046 and 68057.

LCM(68046,68057) = 2¹ × 3¹ × 11¹ × 1031¹ × 23¹ × 269¹
LCM(68046,68057) = 421000602