What is the Least Common Multiple of 26972 and 26984?

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 26972 and 26984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26972 and 26984, than apply into the LCM equation.

GCF(26972,26984) = 4
LCM(26972,26984) = ( 26972 × 26984) / 4
LCM(26972,26984) = 727812448 / 4
LCM(26972,26984) = 181953112

Least Common Multiple (LCM) of 26972 and 26984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26972 and 26984. First we will calculate the prime factors of 26972 and 26984.

Prime Factorization of 26972

Prime Factorization of 26984

Now multiplying the highest exponent prime factors to calculate the LCM of 26972 and 26984.

LCM(26972,26984) = 2³ × 11¹ × 613¹ × 3373¹
LCM(26972,26984) = 181953112