What is the Least Common Multiple of 73514 and 73532?

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 73514 and 73532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73514 and 73532, than apply into the LCM equation.

GCF(73514,73532) = 2
LCM(73514,73532) = ( 73514 × 73532) / 2
LCM(73514,73532) = 5405631448 / 2
LCM(73514,73532) = 2702815724

Least Common Multiple (LCM) of 73514 and 73532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73514 and 73532. First we will calculate the prime factors of 73514 and 73532.

Prime Factorization of 73514

Prime Factorization of 73532

Now multiplying the highest exponent prime factors to calculate the LCM of 73514 and 73532.

LCM(73514,73532) = 2² × 7¹ × 59¹ × 89¹ × 31¹ × 593¹
LCM(73514,73532) = 2702815724