What is the Least Common Multiple of 57646 and 57658?

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 57646 and 57658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57646 and 57658, than apply into the LCM equation.

GCF(57646,57658) = 2
LCM(57646,57658) = ( 57646 × 57658) / 2
LCM(57646,57658) = 3323753068 / 2
LCM(57646,57658) = 1661876534

Least Common Multiple (LCM) of 57646 and 57658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57646 and 57658. First we will calculate the prime factors of 57646 and 57658.

Prime Factorization of 57646

Prime Factorization of 57658

Now multiplying the highest exponent prime factors to calculate the LCM of 57646 and 57658.

LCM(57646,57658) = 2¹ × 19¹ × 37¹ × 41¹ × 127¹ × 227¹
LCM(57646,57658) = 1661876534