What is the Least Common Multiple of 77970 and 77988?

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 77970 and 77988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77970 and 77988, than apply into the LCM equation.

GCF(77970,77988) = 6
LCM(77970,77988) = ( 77970 × 77988) / 6
LCM(77970,77988) = 6080724360 / 6
LCM(77970,77988) = 1013454060

Least Common Multiple (LCM) of 77970 and 77988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77970 and 77988. First we will calculate the prime factors of 77970 and 77988.

Prime Factorization of 77970

Prime Factorization of 77988

Now multiplying the highest exponent prime factors to calculate the LCM of 77970 and 77988.

LCM(77970,77988) = 2² × 3¹ × 5¹ × 23¹ × 113¹ × 67¹ × 97¹
LCM(77970,77988) = 1013454060