What is the Least Common Multiple of 73624 and 73635?

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 73624 and 73635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73624 and 73635, than apply into the LCM equation.

GCF(73624,73635) = 1
LCM(73624,73635) = ( 73624 × 73635) / 1
LCM(73624,73635) = 5421303240 / 1
LCM(73624,73635) = 5421303240

Least Common Multiple (LCM) of 73624 and 73635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73624 and 73635. First we will calculate the prime factors of 73624 and 73635.

Prime Factorization of 73624

Prime Factorization of 73635

Now multiplying the highest exponent prime factors to calculate the LCM of 73624 and 73635.

LCM(73624,73635) = 2³ × 9203¹ × 3¹ × 5¹ × 4909¹
LCM(73624,73635) = 5421303240