What is the Least Common Multiple of 66930 and 66945?

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 66945 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 66945, than apply into the LCM equation.

GCF(66930,66945) = 15
LCM(66930,66945) = ( 66930 × 66945) / 15
LCM(66930,66945) = 4480628850 / 15
LCM(66930,66945) = 298708590

Least Common Multiple (LCM) of 66930 and 66945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66930 and 66945. First we will calculate the prime factors of 66930 and 66945.

Prime Factorization of 66930

Prime Factorization of 66945

Now multiplying the highest exponent prime factors to calculate the LCM of 66930 and 66945.

LCM(66930,66945) = 2¹ × 3¹ × 5¹ × 23¹ × 97¹ × 4463¹
LCM(66930,66945) = 298708590