What is the Least Common Multiple of 4355 and 4374?

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 4355 and 4374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4355 and 4374, than apply into the LCM equation.

GCF(4355,4374) = 1
LCM(4355,4374) = ( 4355 × 4374) / 1
LCM(4355,4374) = 19048770 / 1
LCM(4355,4374) = 19048770

Least Common Multiple (LCM) of 4355 and 4374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4355 and 4374. First we will calculate the prime factors of 4355 and 4374.

Prime Factorization of 4355

Prime Factorization of 4374

Now multiplying the highest exponent prime factors to calculate the LCM of 4355 and 4374.

LCM(4355,4374) = 5¹ × 13¹ × 67¹ × 2¹ × 3⁷
LCM(4355,4374) = 19048770