What is the Least Common Multiple of 72560 and 72577?

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 72560 and 72577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72560 and 72577, than apply into the LCM equation.

GCF(72560,72577) = 1
LCM(72560,72577) = ( 72560 × 72577) / 1
LCM(72560,72577) = 5266187120 / 1
LCM(72560,72577) = 5266187120

Least Common Multiple (LCM) of 72560 and 72577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72560 and 72577. First we will calculate the prime factors of 72560 and 72577.

Prime Factorization of 72560

Prime Factorization of 72577

Now multiplying the highest exponent prime factors to calculate the LCM of 72560 and 72577.

LCM(72560,72577) = 2⁴ × 5¹ × 907¹ × 72577¹
LCM(72560,72577) = 5266187120