What is the Least Common Multiple of 7980 and 7998?

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 7980 and 7998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7980 and 7998, than apply into the LCM equation.

GCF(7980,7998) = 6
LCM(7980,7998) = ( 7980 × 7998) / 6
LCM(7980,7998) = 63824040 / 6
LCM(7980,7998) = 10637340

Least Common Multiple (LCM) of 7980 and 7998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7980 and 7998. First we will calculate the prime factors of 7980 and 7998.

Prime Factorization of 7980

Prime Factorization of 7998

Now multiplying the highest exponent prime factors to calculate the LCM of 7980 and 7998.

LCM(7980,7998) = 2² × 3¹ × 5¹ × 7¹ × 19¹ × 31¹ × 43¹
LCM(7980,7998) = 10637340