What is the Least Common Multiple of 61950 and 61964?

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 61950 and 61964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61950 and 61964, than apply into the LCM equation.

GCF(61950,61964) = 14
LCM(61950,61964) = ( 61950 × 61964) / 14
LCM(61950,61964) = 3838669800 / 14
LCM(61950,61964) = 274190700

Least Common Multiple (LCM) of 61950 and 61964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61950 and 61964. First we will calculate the prime factors of 61950 and 61964.

Prime Factorization of 61950

Prime Factorization of 61964

Now multiplying the highest exponent prime factors to calculate the LCM of 61950 and 61964.

LCM(61950,61964) = 2² × 3¹ × 5² × 7¹ × 59¹ × 2213¹
LCM(61950,61964) = 274190700