What is the Least Common Multiple of 66735 and 66747?

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 66747 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 66747, than apply into the LCM equation.

GCF(66735,66747) = 3
LCM(66735,66747) = ( 66735 × 66747) / 3
LCM(66735,66747) = 4454361045 / 3
LCM(66735,66747) = 1484787015

Least Common Multiple (LCM) of 66735 and 66747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66735 and 66747. First we will calculate the prime factors of 66735 and 66747.

Prime Factorization of 66735

Prime Factorization of 66747

Now multiplying the highest exponent prime factors to calculate the LCM of 66735 and 66747.

LCM(66735,66747) = 3² × 5¹ × 1483¹ × 19¹ × 1171¹
LCM(66735,66747) = 1484787015