What is the Least Common Multiple of 61964 and 61970?

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 61970 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 61970, than apply into the LCM equation.

GCF(61964,61970) = 2
LCM(61964,61970) = ( 61964 × 61970) / 2
LCM(61964,61970) = 3839909080 / 2
LCM(61964,61970) = 1919954540

Least Common Multiple (LCM) of 61964 and 61970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61964 and 61970. First we will calculate the prime factors of 61964 and 61970.

Prime Factorization of 61964

Prime Factorization of 61970

Now multiplying the highest exponent prime factors to calculate the LCM of 61964 and 61970.

LCM(61964,61970) = 2² × 7¹ × 2213¹ × 5¹ × 6197¹
LCM(61964,61970) = 1919954540