What is the Least Common Multiple of 97720 and 97740?

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 97720 and 97740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97720 and 97740, than apply into the LCM equation.

GCF(97720,97740) = 20
LCM(97720,97740) = ( 97720 × 97740) / 20
LCM(97720,97740) = 9551152800 / 20
LCM(97720,97740) = 477557640

Least Common Multiple (LCM) of 97720 and 97740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97720 and 97740. First we will calculate the prime factors of 97720 and 97740.

Prime Factorization of 97720

Prime Factorization of 97740

Now multiplying the highest exponent prime factors to calculate the LCM of 97720 and 97740.

LCM(97720,97740) = 2³ × 5¹ × 7¹ × 349¹ × 3³ × 181¹
LCM(97720,97740) = 477557640