What is the Least Common Multiple of 81354 and 81374?

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 81354 and 81374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81354 and 81374, than apply into the LCM equation.

GCF(81354,81374) = 2
LCM(81354,81374) = ( 81354 × 81374) / 2
LCM(81354,81374) = 6620100396 / 2
LCM(81354,81374) = 3310050198

Least Common Multiple (LCM) of 81354 and 81374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81354 and 81374. First we will calculate the prime factors of 81354 and 81374.

Prime Factorization of 81354

Prime Factorization of 81374

Now multiplying the highest exponent prime factors to calculate the LCM of 81354 and 81374.

LCM(81354,81374) = 2¹ × 3¹ × 7¹ × 13¹ × 149¹ × 23¹ × 29¹ × 61¹
LCM(81354,81374) = 3310050198