What is the Least Common Multiple of 35952 and 35963?

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 35952 and 35963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35952 and 35963, than apply into the LCM equation.

GCF(35952,35963) = 1
LCM(35952,35963) = ( 35952 × 35963) / 1
LCM(35952,35963) = 1292941776 / 1
LCM(35952,35963) = 1292941776

Least Common Multiple (LCM) of 35952 and 35963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35952 and 35963. First we will calculate the prime factors of 35952 and 35963.

Prime Factorization of 35952

Prime Factorization of 35963

Now multiplying the highest exponent prime factors to calculate the LCM of 35952 and 35963.

LCM(35952,35963) = 2⁴ × 3¹ × 7¹ × 107¹ × 35963¹
LCM(35952,35963) = 1292941776