What is the Least Common Multiple of 34536 and 34550?

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 34536 and 34550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34536 and 34550, than apply into the LCM equation.

GCF(34536,34550) = 2
LCM(34536,34550) = ( 34536 × 34550) / 2
LCM(34536,34550) = 1193218800 / 2
LCM(34536,34550) = 596609400

Least Common Multiple (LCM) of 34536 and 34550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34536 and 34550. First we will calculate the prime factors of 34536 and 34550.

Prime Factorization of 34536

Prime Factorization of 34550

Now multiplying the highest exponent prime factors to calculate the LCM of 34536 and 34550.

LCM(34536,34550) = 2³ × 3¹ × 1439¹ × 5² × 691¹
LCM(34536,34550) = 596609400