What is the Least Common Multiple of 73620 and 73629?

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 73620 and 73629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73620 and 73629, than apply into the LCM equation.

GCF(73620,73629) = 9
LCM(73620,73629) = ( 73620 × 73629) / 9
LCM(73620,73629) = 5420566980 / 9
LCM(73620,73629) = 602285220

Least Common Multiple (LCM) of 73620 and 73629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73620 and 73629. First we will calculate the prime factors of 73620 and 73629.

Prime Factorization of 73620

Prime Factorization of 73629

Now multiplying the highest exponent prime factors to calculate the LCM of 73620 and 73629.

LCM(73620,73629) = 2² × 3⁶ × 5¹ × 409¹ × 101¹
LCM(73620,73629) = 602285220