What is the Least Common Multiple of 76202 and 76216?

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 76202 and 76216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76202 and 76216, than apply into the LCM equation.

GCF(76202,76216) = 14
LCM(76202,76216) = ( 76202 × 76216) / 14
LCM(76202,76216) = 5807811632 / 14
LCM(76202,76216) = 414843688

Least Common Multiple (LCM) of 76202 and 76216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76202 and 76216. First we will calculate the prime factors of 76202 and 76216.

Prime Factorization of 76202

Prime Factorization of 76216

Now multiplying the highest exponent prime factors to calculate the LCM of 76202 and 76216.

LCM(76202,76216) = 2³ × 7¹ × 5443¹ × 1361¹
LCM(76202,76216) = 414843688