What is the Least Common Multiple of 66560 and 66578?

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 66560 and 66578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66560 and 66578, than apply into the LCM equation.

GCF(66560,66578) = 2
LCM(66560,66578) = ( 66560 × 66578) / 2
LCM(66560,66578) = 4431431680 / 2
LCM(66560,66578) = 2215715840

Least Common Multiple (LCM) of 66560 and 66578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66560 and 66578. First we will calculate the prime factors of 66560 and 66578.

Prime Factorization of 66560

Prime Factorization of 66578

Now multiplying the highest exponent prime factors to calculate the LCM of 66560 and 66578.

LCM(66560,66578) = 2¹⁰ × 5¹ × 13¹ × 33289¹
LCM(66560,66578) = 2215715840