What is the Least Common Multiple of 66930 and 66938?

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 66930 and 66938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66930 and 66938, than apply into the LCM equation.

GCF(66930,66938) = 2
LCM(66930,66938) = ( 66930 × 66938) / 2
LCM(66930,66938) = 4480160340 / 2
LCM(66930,66938) = 2240080170

Least Common Multiple (LCM) of 66930 and 66938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66930 and 66938. First we will calculate the prime factors of 66930 and 66938.

Prime Factorization of 66930

Prime Factorization of 66938

Now multiplying the highest exponent prime factors to calculate the LCM of 66930 and 66938.

LCM(66930,66938) = 2¹ × 3¹ × 5¹ × 23¹ × 97¹ × 33469¹
LCM(66930,66938) = 2240080170