What is the Least Common Multiple of 84236 and 84252?

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 84236 and 84252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84236 and 84252, than apply into the LCM equation.

GCF(84236,84252) = 4
LCM(84236,84252) = ( 84236 × 84252) / 4
LCM(84236,84252) = 7097051472 / 4
LCM(84236,84252) = 1774262868

Least Common Multiple (LCM) of 84236 and 84252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84236 and 84252. First we will calculate the prime factors of 84236 and 84252.

Prime Factorization of 84236

Prime Factorization of 84252

Now multiplying the highest exponent prime factors to calculate the LCM of 84236 and 84252.

LCM(84236,84252) = 2² × 21059¹ × 3¹ × 7¹ × 17¹ × 59¹
LCM(84236,84252) = 1774262868