What is the Least Common Multiple of 66738 and 66745?

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 66738 and 66745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66738 and 66745, than apply into the LCM equation.

GCF(66738,66745) = 7
LCM(66738,66745) = ( 66738 × 66745) / 7
LCM(66738,66745) = 4454427810 / 7
LCM(66738,66745) = 636346830

Least Common Multiple (LCM) of 66738 and 66745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66738 and 66745. First we will calculate the prime factors of 66738 and 66745.

Prime Factorization of 66738

Prime Factorization of 66745

Now multiplying the highest exponent prime factors to calculate the LCM of 66738 and 66745.

LCM(66738,66745) = 2¹ × 3¹ × 7² × 227¹ × 5¹ × 1907¹
LCM(66738,66745) = 636346830