What is the Least Common Multiple of 66675 and 66680?

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 66675 and 66680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66675 and 66680, than apply into the LCM equation.

GCF(66675,66680) = 5
LCM(66675,66680) = ( 66675 × 66680) / 5
LCM(66675,66680) = 4445889000 / 5
LCM(66675,66680) = 889177800

Least Common Multiple (LCM) of 66675 and 66680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66675 and 66680. First we will calculate the prime factors of 66675 and 66680.

Prime Factorization of 66675

Prime Factorization of 66680

Now multiplying the highest exponent prime factors to calculate the LCM of 66675 and 66680.

LCM(66675,66680) = 3¹ × 5² × 7¹ × 127¹ × 2³ × 1667¹
LCM(66675,66680) = 889177800