What is the Least Common Multiple of 61974 and 61980?

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 61980 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 61980, than apply into the LCM equation.

GCF(61974,61980) = 6
LCM(61974,61980) = ( 61974 × 61980) / 6
LCM(61974,61980) = 3841148520 / 6
LCM(61974,61980) = 640191420

Least Common Multiple (LCM) of 61974 and 61980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61974 and 61980. First we will calculate the prime factors of 61974 and 61980.

Prime Factorization of 61974

Prime Factorization of 61980

Now multiplying the highest exponent prime factors to calculate the LCM of 61974 and 61980.

LCM(61974,61980) = 2² × 3² × 11¹ × 313¹ × 5¹ × 1033¹
LCM(61974,61980) = 640191420