What is the Least Common Multiple of 73620 and 73626?

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 73626 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 73626, than apply into the LCM equation.

GCF(73620,73626) = 6
LCM(73620,73626) = ( 73620 × 73626) / 6
LCM(73620,73626) = 5420346120 / 6
LCM(73620,73626) = 903391020

Least Common Multiple (LCM) of 73620 and 73626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73620 and 73626. First we will calculate the prime factors of 73620 and 73626.

Prime Factorization of 73620

Prime Factorization of 73626

Now multiplying the highest exponent prime factors to calculate the LCM of 73620 and 73626.

LCM(73620,73626) = 2² × 3² × 5¹ × 409¹ × 7¹ × 1753¹
LCM(73620,73626) = 903391020