What is the Least Common Multiple of 35944 and 35964?

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 35944 and 35964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35944 and 35964, than apply into the LCM equation.

GCF(35944,35964) = 4
LCM(35944,35964) = ( 35944 × 35964) / 4
LCM(35944,35964) = 1292690016 / 4
LCM(35944,35964) = 323172504

Least Common Multiple (LCM) of 35944 and 35964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35944 and 35964. First we will calculate the prime factors of 35944 and 35964.

Prime Factorization of 35944

Prime Factorization of 35964

Now multiplying the highest exponent prime factors to calculate the LCM of 35944 and 35964.

LCM(35944,35964) = 2³ × 4493¹ × 3⁵ × 37¹
LCM(35944,35964) = 323172504