What is the Least Common Multiple of 66768 and 66782?

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 66768 and 66782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66768 and 66782, than apply into the LCM equation.

GCF(66768,66782) = 2
LCM(66768,66782) = ( 66768 × 66782) / 2
LCM(66768,66782) = 4458900576 / 2
LCM(66768,66782) = 2229450288

Least Common Multiple (LCM) of 66768 and 66782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66768 and 66782. First we will calculate the prime factors of 66768 and 66782.

Prime Factorization of 66768

Prime Factorization of 66782

Now multiplying the highest exponent prime factors to calculate the LCM of 66768 and 66782.

LCM(66768,66782) = 2⁴ × 3¹ × 13¹ × 107¹ × 33391¹
LCM(66768,66782) = 2229450288