What is the Least Common Multiple of 64705 and 64723?

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 64705 and 64723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64705 and 64723, than apply into the LCM equation.

GCF(64705,64723) = 1
LCM(64705,64723) = ( 64705 × 64723) / 1
LCM(64705,64723) = 4187901715 / 1
LCM(64705,64723) = 4187901715

Least Common Multiple (LCM) of 64705 and 64723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64705 and 64723. First we will calculate the prime factors of 64705 and 64723.

Prime Factorization of 64705

Prime Factorization of 64723

Now multiplying the highest exponent prime factors to calculate the LCM of 64705 and 64723.

LCM(64705,64723) = 5¹ × 12941¹ × 59¹ × 1097¹
LCM(64705,64723) = 4187901715