What is the Least Common Multiple of 68970 and 68984?

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 68970 and 68984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68970 and 68984, than apply into the LCM equation.

GCF(68970,68984) = 2
LCM(68970,68984) = ( 68970 × 68984) / 2
LCM(68970,68984) = 4757826480 / 2
LCM(68970,68984) = 2378913240

Least Common Multiple (LCM) of 68970 and 68984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68970 and 68984. First we will calculate the prime factors of 68970 and 68984.

Prime Factorization of 68970

Prime Factorization of 68984

Now multiplying the highest exponent prime factors to calculate the LCM of 68970 and 68984.

LCM(68970,68984) = 2³ × 3¹ × 5¹ × 11² × 19¹ × 8623¹
LCM(68970,68984) = 2378913240