What is the Least Common Multiple of 61965 and 61974?

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 61965 and 61974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61965 and 61974, than apply into the LCM equation.

GCF(61965,61974) = 9
LCM(61965,61974) = ( 61965 × 61974) / 9
LCM(61965,61974) = 3840218910 / 9
LCM(61965,61974) = 426690990

Least Common Multiple (LCM) of 61965 and 61974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61965 and 61974. First we will calculate the prime factors of 61965 and 61974.

Prime Factorization of 61965

Prime Factorization of 61974

Now multiplying the highest exponent prime factors to calculate the LCM of 61965 and 61974.

LCM(61965,61974) = 3⁶ × 5¹ × 17¹ × 2¹ × 11¹ × 313¹
LCM(61965,61974) = 426690990