What is the Least Common Multiple of 97674 and 97680?

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 97674 and 97680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97674 and 97680, than apply into the LCM equation.

GCF(97674,97680) = 6
LCM(97674,97680) = ( 97674 × 97680) / 6
LCM(97674,97680) = 9540796320 / 6
LCM(97674,97680) = 1590132720

Least Common Multiple (LCM) of 97674 and 97680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97674 and 97680. First we will calculate the prime factors of 97674 and 97680.

Prime Factorization of 97674

Prime Factorization of 97680

Now multiplying the highest exponent prime factors to calculate the LCM of 97674 and 97680.

LCM(97674,97680) = 2⁴ × 3¹ × 73¹ × 223¹ × 5¹ × 11¹ × 37¹
LCM(97674,97680) = 1590132720