What is the Least Common Multiple of 51646 and 51661?

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 51646 and 51661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51646 and 51661, than apply into the LCM equation.

GCF(51646,51661) = 1
LCM(51646,51661) = ( 51646 × 51661) / 1
LCM(51646,51661) = 2668084006 / 1
LCM(51646,51661) = 2668084006

Least Common Multiple (LCM) of 51646 and 51661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51646 and 51661. First we will calculate the prime factors of 51646 and 51661.

Prime Factorization of 51646

Prime Factorization of 51661

Now multiplying the highest exponent prime factors to calculate the LCM of 51646 and 51661.

LCM(51646,51661) = 2¹ × 7² × 17¹ × 31¹ × 19¹ × 2719¹
LCM(51646,51661) = 2668084006