What is the Least Common Multiple of 6972 and 6980?

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 6972 and 6980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6972 and 6980, than apply into the LCM equation.

GCF(6972,6980) = 4
LCM(6972,6980) = ( 6972 × 6980) / 4
LCM(6972,6980) = 48664560 / 4
LCM(6972,6980) = 12166140

Least Common Multiple (LCM) of 6972 and 6980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6972 and 6980. First we will calculate the prime factors of 6972 and 6980.

Prime Factorization of 6972

Prime Factorization of 6980

Now multiplying the highest exponent prime factors to calculate the LCM of 6972 and 6980.

LCM(6972,6980) = 2² × 3¹ × 7¹ × 83¹ × 5¹ × 349¹
LCM(6972,6980) = 12166140