What is the Least Common Multiple of 65646 and 65660?

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 65646 and 65660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65646 and 65660, than apply into the LCM equation.

GCF(65646,65660) = 14
LCM(65646,65660) = ( 65646 × 65660) / 14
LCM(65646,65660) = 4310316360 / 14
LCM(65646,65660) = 307879740

Least Common Multiple (LCM) of 65646 and 65660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65646 and 65660. First we will calculate the prime factors of 65646 and 65660.

Prime Factorization of 65646

Prime Factorization of 65660

Now multiplying the highest exponent prime factors to calculate the LCM of 65646 and 65660.

LCM(65646,65660) = 2² × 3² × 7² × 521¹ × 5¹ × 67¹
LCM(65646,65660) = 307879740