What is the Least Common Multiple of 66552 and 66560?

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 66552 and 66560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66552 and 66560, than apply into the LCM equation.

GCF(66552,66560) = 8
LCM(66552,66560) = ( 66552 × 66560) / 8
LCM(66552,66560) = 4429701120 / 8
LCM(66552,66560) = 553712640

Least Common Multiple (LCM) of 66552 and 66560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66552 and 66560. First we will calculate the prime factors of 66552 and 66560.

Prime Factorization of 66552

Prime Factorization of 66560

Now multiplying the highest exponent prime factors to calculate the LCM of 66552 and 66560.

LCM(66552,66560) = 2¹⁰ × 3¹ × 47¹ × 59¹ × 5¹ × 13¹
LCM(66552,66560) = 553712640