What is the Least Common Multiple of 72760 and 72778?

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 72760 and 72778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72760 and 72778, than apply into the LCM equation.

GCF(72760,72778) = 2
LCM(72760,72778) = ( 72760 × 72778) / 2
LCM(72760,72778) = 5295327280 / 2
LCM(72760,72778) = 2647663640

Least Common Multiple (LCM) of 72760 and 72778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72760 and 72778. First we will calculate the prime factors of 72760 and 72778.

Prime Factorization of 72760

Prime Factorization of 72778

Now multiplying the highest exponent prime factors to calculate the LCM of 72760 and 72778.

LCM(72760,72778) = 2³ × 5¹ × 17¹ × 107¹ × 36389¹
LCM(72760,72778) = 2647663640