What is the Least Common Multiple of 66762 and 66780?

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 66762 and 66780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66762 and 66780, than apply into the LCM equation.

GCF(66762,66780) = 18
LCM(66762,66780) = ( 66762 × 66780) / 18
LCM(66762,66780) = 4458366360 / 18
LCM(66762,66780) = 247687020

Least Common Multiple (LCM) of 66762 and 66780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66762 and 66780. First we will calculate the prime factors of 66762 and 66780.

Prime Factorization of 66762

Prime Factorization of 66780

Now multiplying the highest exponent prime factors to calculate the LCM of 66762 and 66780.

LCM(66762,66780) = 2² × 3² × 3709¹ × 5¹ × 7¹ × 53¹
LCM(66762,66780) = 247687020