What is the Least Common Multiple of 81040 and 81048?

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 81040 and 81048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81040 and 81048, than apply into the LCM equation.

GCF(81040,81048) = 8
LCM(81040,81048) = ( 81040 × 81048) / 8
LCM(81040,81048) = 6568129920 / 8
LCM(81040,81048) = 821016240

Least Common Multiple (LCM) of 81040 and 81048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81040 and 81048. First we will calculate the prime factors of 81040 and 81048.

Prime Factorization of 81040

Prime Factorization of 81048

Now multiplying the highest exponent prime factors to calculate the LCM of 81040 and 81048.

LCM(81040,81048) = 2⁴ × 5¹ × 1013¹ × 3¹ × 11¹ × 307¹
LCM(81040,81048) = 821016240