What is the Least Common Multiple of 41440 and 41460?

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 41460 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 41460, than apply into the LCM equation.

GCF(41440,41460) = 20
LCM(41440,41460) = ( 41440 × 41460) / 20
LCM(41440,41460) = 1718102400 / 20
LCM(41440,41460) = 85905120

Least Common Multiple (LCM) of 41440 and 41460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41440 and 41460. First we will calculate the prime factors of 41440 and 41460.

Prime Factorization of 41440

Prime Factorization of 41460

Now multiplying the highest exponent prime factors to calculate the LCM of 41440 and 41460.

LCM(41440,41460) = 2⁵ × 5¹ × 7¹ × 37¹ × 3¹ × 691¹
LCM(41440,41460) = 85905120