What is the Least Common Multiple of 26054 and 26074?

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 26054 and 26074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26054 and 26074, than apply into the LCM equation.

GCF(26054,26074) = 2
LCM(26054,26074) = ( 26054 × 26074) / 2
LCM(26054,26074) = 679331996 / 2
LCM(26054,26074) = 339665998

Least Common Multiple (LCM) of 26054 and 26074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26054 and 26074. First we will calculate the prime factors of 26054 and 26074.

Prime Factorization of 26054

Prime Factorization of 26074

Now multiplying the highest exponent prime factors to calculate the LCM of 26054 and 26074.

LCM(26054,26074) = 2¹ × 7¹ × 1861¹ × 13037¹
LCM(26054,26074) = 339665998