What is the Least Common Multiple of 41680 and 41692?

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 41680 and 41692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41680 and 41692, than apply into the LCM equation.

GCF(41680,41692) = 4
LCM(41680,41692) = ( 41680 × 41692) / 4
LCM(41680,41692) = 1737722560 / 4
LCM(41680,41692) = 434430640

Least Common Multiple (LCM) of 41680 and 41692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41680 and 41692. First we will calculate the prime factors of 41680 and 41692.

Prime Factorization of 41680

Prime Factorization of 41692

Now multiplying the highest exponent prime factors to calculate the LCM of 41680 and 41692.

LCM(41680,41692) = 2⁴ × 5¹ × 521¹ × 7¹ × 1489¹
LCM(41680,41692) = 434430640