What is the Least Common Multiple of 26642 and 26657?

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 26642 and 26657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26642 and 26657, than apply into the LCM equation.

GCF(26642,26657) = 1
LCM(26642,26657) = ( 26642 × 26657) / 1
LCM(26642,26657) = 710195794 / 1
LCM(26642,26657) = 710195794

Least Common Multiple (LCM) of 26642 and 26657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26642 and 26657. First we will calculate the prime factors of 26642 and 26657.

Prime Factorization of 26642

Prime Factorization of 26657

Now multiplying the highest exponent prime factors to calculate the LCM of 26642 and 26657.

LCM(26642,26657) = 2¹ × 7¹ × 11¹ × 173¹ × 19¹ × 23¹ × 61¹
LCM(26642,26657) = 710195794