What is the Least Common Multiple of 97760 and 97774?

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 97760 and 97774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97760 and 97774, than apply into the LCM equation.

GCF(97760,97774) = 2
LCM(97760,97774) = ( 97760 × 97774) / 2
LCM(97760,97774) = 9558386240 / 2
LCM(97760,97774) = 4779193120

Least Common Multiple (LCM) of 97760 and 97774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97760 and 97774. First we will calculate the prime factors of 97760 and 97774.

Prime Factorization of 97760

Prime Factorization of 97774

Now multiplying the highest exponent prime factors to calculate the LCM of 97760 and 97774.

LCM(97760,97774) = 2⁵ × 5¹ × 13¹ × 47¹ × 19¹ × 31¹ × 83¹
LCM(97760,97774) = 4779193120