What is the Least Common Multiple of 35640 and 35660?

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 35640 and 35660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35640 and 35660, than apply into the LCM equation.

GCF(35640,35660) = 20
LCM(35640,35660) = ( 35640 × 35660) / 20
LCM(35640,35660) = 1270922400 / 20
LCM(35640,35660) = 63546120

Least Common Multiple (LCM) of 35640 and 35660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35640 and 35660. First we will calculate the prime factors of 35640 and 35660.

Prime Factorization of 35640

Prime Factorization of 35660

Now multiplying the highest exponent prime factors to calculate the LCM of 35640 and 35660.

LCM(35640,35660) = 2³ × 3⁴ × 5¹ × 11¹ × 1783¹
LCM(35640,35660) = 63546120