What is the Least Common Multiple of 84414 and 84420?

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 84414 and 84420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84414 and 84420, than apply into the LCM equation.

GCF(84414,84420) = 6
LCM(84414,84420) = ( 84414 × 84420) / 6
LCM(84414,84420) = 7126229880 / 6
LCM(84414,84420) = 1187704980

Least Common Multiple (LCM) of 84414 and 84420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84414 and 84420. First we will calculate the prime factors of 84414 and 84420.

Prime Factorization of 84414

Prime Factorization of 84420

Now multiplying the highest exponent prime factors to calculate the LCM of 84414 and 84420.

LCM(84414,84420) = 2² × 3² × 11¹ × 1279¹ × 5¹ × 7¹ × 67¹
LCM(84414,84420) = 1187704980