What is the Least Common Multiple of 72534 and 72550?

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 72534 and 72550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72534 and 72550, than apply into the LCM equation.

GCF(72534,72550) = 2
LCM(72534,72550) = ( 72534 × 72550) / 2
LCM(72534,72550) = 5262341700 / 2
LCM(72534,72550) = 2631170850

Least Common Multiple (LCM) of 72534 and 72550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72534 and 72550. First we will calculate the prime factors of 72534 and 72550.

Prime Factorization of 72534

Prime Factorization of 72550

Now multiplying the highest exponent prime factors to calculate the LCM of 72534 and 72550.

LCM(72534,72550) = 2¹ × 3¹ × 7¹ × 11¹ × 157¹ × 5² × 1451¹
LCM(72534,72550) = 2631170850