What is the Least Common Multiple of 60669 and 60682?

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 60669 and 60682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60669 and 60682, than apply into the LCM equation.

GCF(60669,60682) = 1
LCM(60669,60682) = ( 60669 × 60682) / 1
LCM(60669,60682) = 3681516258 / 1
LCM(60669,60682) = 3681516258

Least Common Multiple (LCM) of 60669 and 60682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60669 and 60682. First we will calculate the prime factors of 60669 and 60682.

Prime Factorization of 60669

Prime Factorization of 60682

Now multiplying the highest exponent prime factors to calculate the LCM of 60669 and 60682.

LCM(60669,60682) = 3⁴ × 7¹ × 107¹ × 2¹ × 30341¹
LCM(60669,60682) = 3681516258