What is the Least Common Multiple of 35920 and 35939?

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 35920 and 35939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35920 and 35939, than apply into the LCM equation.

GCF(35920,35939) = 1
LCM(35920,35939) = ( 35920 × 35939) / 1
LCM(35920,35939) = 1290928880 / 1
LCM(35920,35939) = 1290928880

Least Common Multiple (LCM) of 35920 and 35939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35920 and 35939. First we will calculate the prime factors of 35920 and 35939.

Prime Factorization of 35920

Prime Factorization of 35939

Now multiplying the highest exponent prime factors to calculate the LCM of 35920 and 35939.

LCM(35920,35939) = 2⁴ × 5¹ × 449¹ × 83¹ × 433¹
LCM(35920,35939) = 1290928880