What is the Least Common Multiple of 84740 and 84760?

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 84740 and 84760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84740 and 84760, than apply into the LCM equation.

GCF(84740,84760) = 20
LCM(84740,84760) = ( 84740 × 84760) / 20
LCM(84740,84760) = 7182562400 / 20
LCM(84740,84760) = 359128120

Least Common Multiple (LCM) of 84740 and 84760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84740 and 84760. First we will calculate the prime factors of 84740 and 84760.

Prime Factorization of 84740

Prime Factorization of 84760

Now multiplying the highest exponent prime factors to calculate the LCM of 84740 and 84760.

LCM(84740,84760) = 2³ × 5¹ × 19¹ × 223¹ × 13¹ × 163¹
LCM(84740,84760) = 359128120