What is the Least Common Multiple of 35947 and 35965?

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 35947 and 35965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35947 and 35965, than apply into the LCM equation.

GCF(35947,35965) = 1
LCM(35947,35965) = ( 35947 × 35965) / 1
LCM(35947,35965) = 1292833855 / 1
LCM(35947,35965) = 1292833855

Least Common Multiple (LCM) of 35947 and 35965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35947 and 35965. First we will calculate the prime factors of 35947 and 35965.

Prime Factorization of 35947

Prime Factorization of 35965

Now multiplying the highest exponent prime factors to calculate the LCM of 35947 and 35965.

LCM(35947,35965) = 103¹ × 349¹ × 5¹ × 7193¹
LCM(35947,35965) = 1292833855