What is the Least Common Multiple of 40232 and 40252?

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 40232 and 40252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40232 and 40252, than apply into the LCM equation.

GCF(40232,40252) = 4
LCM(40232,40252) = ( 40232 × 40252) / 4
LCM(40232,40252) = 1619418464 / 4
LCM(40232,40252) = 404854616

Least Common Multiple (LCM) of 40232 and 40252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40232 and 40252. First we will calculate the prime factors of 40232 and 40252.

Prime Factorization of 40232

Prime Factorization of 40252

Now multiplying the highest exponent prime factors to calculate the LCM of 40232 and 40252.

LCM(40232,40252) = 2³ × 47¹ × 107¹ × 29¹ × 347¹
LCM(40232,40252) = 404854616