What is the Least Common Multiple of 41440 and 41455?

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 41440 and 41455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41440 and 41455, than apply into the LCM equation.

GCF(41440,41455) = 5
LCM(41440,41455) = ( 41440 × 41455) / 5
LCM(41440,41455) = 1717895200 / 5
LCM(41440,41455) = 343579040

Least Common Multiple (LCM) of 41440 and 41455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41440 and 41455. First we will calculate the prime factors of 41440 and 41455.

Prime Factorization of 41440

Prime Factorization of 41455

Now multiplying the highest exponent prime factors to calculate the LCM of 41440 and 41455.

LCM(41440,41455) = 2⁵ × 5¹ × 7¹ × 37¹ × 8291¹
LCM(41440,41455) = 343579040