What is the Least Common Multiple of 26970 and 26982?

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 26970 and 26982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26970 and 26982, than apply into the LCM equation.

GCF(26970,26982) = 6
LCM(26970,26982) = ( 26970 × 26982) / 6
LCM(26970,26982) = 727704540 / 6
LCM(26970,26982) = 121284090

Least Common Multiple (LCM) of 26970 and 26982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26970 and 26982. First we will calculate the prime factors of 26970 and 26982.

Prime Factorization of 26970

Prime Factorization of 26982

Now multiplying the highest exponent prime factors to calculate the LCM of 26970 and 26982.

LCM(26970,26982) = 2¹ × 3² × 5¹ × 29¹ × 31¹ × 1499¹
LCM(26970,26982) = 121284090