What is the Least Common Multiple of 40657 and 40677?

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 40657 and 40677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40657 and 40677, than apply into the LCM equation.

GCF(40657,40677) = 1
LCM(40657,40677) = ( 40657 × 40677) / 1
LCM(40657,40677) = 1653804789 / 1
LCM(40657,40677) = 1653804789

Least Common Multiple (LCM) of 40657 and 40677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40657 and 40677. First we will calculate the prime factors of 40657 and 40677.

Prime Factorization of 40657

Prime Factorization of 40677

Now multiplying the highest exponent prime factors to calculate the LCM of 40657 and 40677.

LCM(40657,40677) = 109¹ × 373¹ × 3¹ × 7¹ × 13¹ × 149¹
LCM(40657,40677) = 1653804789