What is the Least Common Multiple of 97974 and 97980?

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 97974 and 97980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97974 and 97980, than apply into the LCM equation.

GCF(97974,97980) = 6
LCM(97974,97980) = ( 97974 × 97980) / 6
LCM(97974,97980) = 9599492520 / 6
LCM(97974,97980) = 1599915420

Least Common Multiple (LCM) of 97974 and 97980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97974 and 97980. First we will calculate the prime factors of 97974 and 97980.

Prime Factorization of 97974

Prime Factorization of 97980

Now multiplying the highest exponent prime factors to calculate the LCM of 97974 and 97980.

LCM(97974,97980) = 2² × 3² × 5443¹ × 5¹ × 23¹ × 71¹
LCM(97974,97980) = 1599915420