What is the Least Common Multiple of 35975 and 35987?

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 35975 and 35987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35975 and 35987, than apply into the LCM equation.

GCF(35975,35987) = 1
LCM(35975,35987) = ( 35975 × 35987) / 1
LCM(35975,35987) = 1294632325 / 1
LCM(35975,35987) = 1294632325

Least Common Multiple (LCM) of 35975 and 35987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35975 and 35987. First we will calculate the prime factors of 35975 and 35987.

Prime Factorization of 35975

Prime Factorization of 35987

Now multiplying the highest exponent prime factors to calculate the LCM of 35975 and 35987.

LCM(35975,35987) = 5² × 1439¹ × 7¹ × 53¹ × 97¹
LCM(35975,35987) = 1294632325