What is the Least Common Multiple of 1962 and 1979?

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 1962 and 1979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1962 and 1979, than apply into the LCM equation.

GCF(1962,1979) = 1
LCM(1962,1979) = ( 1962 × 1979) / 1
LCM(1962,1979) = 3882798 / 1
LCM(1962,1979) = 3882798

Least Common Multiple (LCM) of 1962 and 1979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1962 and 1979. First we will calculate the prime factors of 1962 and 1979.

Prime Factorization of 1962

Prime Factorization of 1979

Now multiplying the highest exponent prime factors to calculate the LCM of 1962 and 1979.

LCM(1962,1979) = 2¹ × 3² × 109¹ × 1979¹
LCM(1962,1979) = 3882798