What is the Least Common Multiple of 61974 and 61994?

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 61974 and 61994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61974 and 61994, than apply into the LCM equation.

GCF(61974,61994) = 2
LCM(61974,61994) = ( 61974 × 61994) / 2
LCM(61974,61994) = 3842016156 / 2
LCM(61974,61994) = 1921008078

Least Common Multiple (LCM) of 61974 and 61994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61974 and 61994. First we will calculate the prime factors of 61974 and 61994.

Prime Factorization of 61974

Prime Factorization of 61994

Now multiplying the highest exponent prime factors to calculate the LCM of 61974 and 61994.

LCM(61974,61994) = 2¹ × 3² × 11¹ × 313¹ × 139¹ × 223¹
LCM(61974,61994) = 1921008078