What is the Least Common Multiple of 35356 and 35372?

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 35356 and 35372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35356 and 35372, than apply into the LCM equation.

GCF(35356,35372) = 4
LCM(35356,35372) = ( 35356 × 35372) / 4
LCM(35356,35372) = 1250612432 / 4
LCM(35356,35372) = 312653108

Least Common Multiple (LCM) of 35356 and 35372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35356 and 35372. First we will calculate the prime factors of 35356 and 35372.

Prime Factorization of 35356

Prime Factorization of 35372

Now multiplying the highest exponent prime factors to calculate the LCM of 35356 and 35372.

LCM(35356,35372) = 2² × 8839¹ × 37¹ × 239¹
LCM(35356,35372) = 312653108