What is the Least Common Multiple of 32360 and 32374?

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 32360 and 32374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32360 and 32374, than apply into the LCM equation.

GCF(32360,32374) = 2
LCM(32360,32374) = ( 32360 × 32374) / 2
LCM(32360,32374) = 1047622640 / 2
LCM(32360,32374) = 523811320

Least Common Multiple (LCM) of 32360 and 32374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32360 and 32374. First we will calculate the prime factors of 32360 and 32374.

Prime Factorization of 32360

Prime Factorization of 32374

Now multiplying the highest exponent prime factors to calculate the LCM of 32360 and 32374.

LCM(32360,32374) = 2³ × 5¹ × 809¹ × 16187¹
LCM(32360,32374) = 523811320