What is the Least Common Multiple of 85462 and 85469?

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 85462 and 85469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85462 and 85469, than apply into the LCM equation.

GCF(85462,85469) = 1
LCM(85462,85469) = ( 85462 × 85469) / 1
LCM(85462,85469) = 7304351678 / 1
LCM(85462,85469) = 7304351678

Least Common Multiple (LCM) of 85462 and 85469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85462 and 85469. First we will calculate the prime factors of 85462 and 85469.

Prime Factorization of 85462

Prime Factorization of 85469

Now multiplying the highest exponent prime factors to calculate the LCM of 85462 and 85469.

LCM(85462,85469) = 2¹ × 13¹ × 19¹ × 173¹ × 85469¹
LCM(85462,85469) = 7304351678