What is the Least Common Multiple of 35980 and 35992?

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 35980 and 35992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35980 and 35992, than apply into the LCM equation.

GCF(35980,35992) = 4
LCM(35980,35992) = ( 35980 × 35992) / 4
LCM(35980,35992) = 1294992160 / 4
LCM(35980,35992) = 323748040

Least Common Multiple (LCM) of 35980 and 35992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35980 and 35992. First we will calculate the prime factors of 35980 and 35992.

Prime Factorization of 35980

Prime Factorization of 35992

Now multiplying the highest exponent prime factors to calculate the LCM of 35980 and 35992.

LCM(35980,35992) = 2³ × 5¹ × 7¹ × 257¹ × 11¹ × 409¹
LCM(35980,35992) = 323748040