What is the Least Common Multiple of 64649 and 64661?

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 64649 and 64661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64649 and 64661, than apply into the LCM equation.

GCF(64649,64661) = 1
LCM(64649,64661) = ( 64649 × 64661) / 1
LCM(64649,64661) = 4180268989 / 1
LCM(64649,64661) = 4180268989

Least Common Multiple (LCM) of 64649 and 64661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64649 and 64661. First we will calculate the prime factors of 64649 and 64661.

Prime Factorization of 64649

Prime Factorization of 64661

Now multiplying the highest exponent prime factors to calculate the LCM of 64649 and 64661.

LCM(64649,64661) = 13¹ × 4973¹ × 64661¹
LCM(64649,64661) = 4180268989