What is the Least Common Multiple of 72749 and 72753?

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 72749 and 72753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72749 and 72753, than apply into the LCM equation.

GCF(72749,72753) = 1
LCM(72749,72753) = ( 72749 × 72753) / 1
LCM(72749,72753) = 5292707997 / 1
LCM(72749,72753) = 5292707997

Least Common Multiple (LCM) of 72749 and 72753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72749 and 72753. First we will calculate the prime factors of 72749 and 72753.

Prime Factorization of 72749

Prime Factorization of 72753

Now multiplying the highest exponent prime factors to calculate the LCM of 72749 and 72753.

LCM(72749,72753) = 23¹ × 3163¹ × 3¹ × 24251¹
LCM(72749,72753) = 5292707997