What is the Least Common Multiple of 73759 and 73776?

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 73759 and 73776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73759 and 73776, than apply into the LCM equation.

GCF(73759,73776) = 1
LCM(73759,73776) = ( 73759 × 73776) / 1
LCM(73759,73776) = 5441643984 / 1
LCM(73759,73776) = 5441643984

Least Common Multiple (LCM) of 73759 and 73776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73759 and 73776. First we will calculate the prime factors of 73759 and 73776.

Prime Factorization of 73759

Prime Factorization of 73776

Now multiplying the highest exponent prime factors to calculate the LCM of 73759 and 73776.

LCM(73759,73776) = 7¹ × 41¹ × 257¹ × 2⁴ × 3¹ × 29¹ × 53¹
LCM(73759,73776) = 5441643984