What is the Least Common Multiple of 97980 and 97989?

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 97980 and 97989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97980 and 97989, than apply into the LCM equation.

GCF(97980,97989) = 3
LCM(97980,97989) = ( 97980 × 97989) / 3
LCM(97980,97989) = 9600962220 / 3
LCM(97980,97989) = 3200320740

Least Common Multiple (LCM) of 97980 and 97989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97980 and 97989. First we will calculate the prime factors of 97980 and 97989.

Prime Factorization of 97980

Prime Factorization of 97989

Now multiplying the highest exponent prime factors to calculate the LCM of 97980 and 97989.

LCM(97980,97989) = 2² × 3¹ × 5¹ × 23¹ × 71¹ × 89¹ × 367¹
LCM(97980,97989) = 3200320740