What is the Least Common Multiple of 26949 and 26962?

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 26949 and 26962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26949 and 26962, than apply into the LCM equation.

GCF(26949,26962) = 13
LCM(26949,26962) = ( 26949 × 26962) / 13
LCM(26949,26962) = 726598938 / 13
LCM(26949,26962) = 55892226

Least Common Multiple (LCM) of 26949 and 26962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26949 and 26962. First we will calculate the prime factors of 26949 and 26962.

Prime Factorization of 26949

Prime Factorization of 26962

Now multiplying the highest exponent prime factors to calculate the LCM of 26949 and 26962.

LCM(26949,26962) = 3¹ × 13¹ × 691¹ × 2¹ × 17¹ × 61¹
LCM(26949,26962) = 55892226