What is the Least Common Multiple of 66735 and 66753?

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 66735 and 66753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66735 and 66753, than apply into the LCM equation.

GCF(66735,66753) = 9
LCM(66735,66753) = ( 66735 × 66753) / 9
LCM(66735,66753) = 4454761455 / 9
LCM(66735,66753) = 494973495

Least Common Multiple (LCM) of 66735 and 66753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66735 and 66753. First we will calculate the prime factors of 66735 and 66753.

Prime Factorization of 66735

Prime Factorization of 66753

Now multiplying the highest exponent prime factors to calculate the LCM of 66735 and 66753.

LCM(66735,66753) = 3² × 5¹ × 1483¹ × 7417¹
LCM(66735,66753) = 494973495