What is the Least Common Multiple of 81470 and 81483?

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 81470 and 81483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81470 and 81483, than apply into the LCM equation.

GCF(81470,81483) = 1
LCM(81470,81483) = ( 81470 × 81483) / 1
LCM(81470,81483) = 6638420010 / 1
LCM(81470,81483) = 6638420010

Least Common Multiple (LCM) of 81470 and 81483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81470 and 81483. First we will calculate the prime factors of 81470 and 81483.

Prime Factorization of 81470

Prime Factorization of 81483

Now multiplying the highest exponent prime factors to calculate the LCM of 81470 and 81483.

LCM(81470,81483) = 2¹ × 5¹ × 8147¹ × 3¹ × 157¹ × 173¹
LCM(81470,81483) = 6638420010