What is the Least Common Multiple of 73236 and 73252?

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 73236 and 73252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73236 and 73252, than apply into the LCM equation.

GCF(73236,73252) = 4
LCM(73236,73252) = ( 73236 × 73252) / 4
LCM(73236,73252) = 5364683472 / 4
LCM(73236,73252) = 1341170868

Least Common Multiple (LCM) of 73236 and 73252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73236 and 73252. First we will calculate the prime factors of 73236 and 73252.

Prime Factorization of 73236

Prime Factorization of 73252

Now multiplying the highest exponent prime factors to calculate the LCM of 73236 and 73252.

LCM(73236,73252) = 2² × 3¹ × 17¹ × 359¹ × 18313¹
LCM(73236,73252) = 1341170868