What is the Least Common Multiple of 26026 and 26037?

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 26026 and 26037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26026 and 26037, than apply into the LCM equation.

GCF(26026,26037) = 11
LCM(26026,26037) = ( 26026 × 26037) / 11
LCM(26026,26037) = 677638962 / 11
LCM(26026,26037) = 61603542

Least Common Multiple (LCM) of 26026 and 26037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26026 and 26037. First we will calculate the prime factors of 26026 and 26037.

Prime Factorization of 26026

Prime Factorization of 26037

Now multiplying the highest exponent prime factors to calculate the LCM of 26026 and 26037.

LCM(26026,26037) = 2¹ × 7¹ × 11¹ × 13² × 3² × 263¹
LCM(26026,26037) = 61603542