What is the Least Common Multiple of 97740 and 97760?

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 97740 and 97760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97740 and 97760, than apply into the LCM equation.

GCF(97740,97760) = 20
LCM(97740,97760) = ( 97740 × 97760) / 20
LCM(97740,97760) = 9555062400 / 20
LCM(97740,97760) = 477753120

Least Common Multiple (LCM) of 97740 and 97760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97740 and 97760. First we will calculate the prime factors of 97740 and 97760.

Prime Factorization of 97740

Prime Factorization of 97760

Now multiplying the highest exponent prime factors to calculate the LCM of 97740 and 97760.

LCM(97740,97760) = 2⁵ × 3³ × 5¹ × 181¹ × 13¹ × 47¹
LCM(97740,97760) = 477753120