What is the Least Common Multiple of 13072 and 13092?

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 13072 and 13092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13072 and 13092, than apply into the LCM equation.

GCF(13072,13092) = 4
LCM(13072,13092) = ( 13072 × 13092) / 4
LCM(13072,13092) = 171138624 / 4
LCM(13072,13092) = 42784656

Least Common Multiple (LCM) of 13072 and 13092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13072 and 13092. First we will calculate the prime factors of 13072 and 13092.

Prime Factorization of 13072

Prime Factorization of 13092

Now multiplying the highest exponent prime factors to calculate the LCM of 13072 and 13092.

LCM(13072,13092) = 2⁴ × 19¹ × 43¹ × 3¹ × 1091¹
LCM(13072,13092) = 42784656