What is the Least Common Multiple of 61964 and 61982?

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 61964 and 61982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61964 and 61982, than apply into the LCM equation.

GCF(61964,61982) = 2
LCM(61964,61982) = ( 61964 × 61982) / 2
LCM(61964,61982) = 3840652648 / 2
LCM(61964,61982) = 1920326324

Least Common Multiple (LCM) of 61964 and 61982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61964 and 61982. First we will calculate the prime factors of 61964 and 61982.

Prime Factorization of 61964

Prime Factorization of 61982

Now multiplying the highest exponent prime factors to calculate the LCM of 61964 and 61982.

LCM(61964,61982) = 2² × 7¹ × 2213¹ × 17¹ × 1823¹
LCM(61964,61982) = 1920326324