What is the Least Common Multiple of 69960 and 69970?

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 69960 and 69970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69960 and 69970, than apply into the LCM equation.

GCF(69960,69970) = 10
LCM(69960,69970) = ( 69960 × 69970) / 10
LCM(69960,69970) = 4895101200 / 10
LCM(69960,69970) = 489510120

Least Common Multiple (LCM) of 69960 and 69970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69960 and 69970. First we will calculate the prime factors of 69960 and 69970.

Prime Factorization of 69960

Prime Factorization of 69970

Now multiplying the highest exponent prime factors to calculate the LCM of 69960 and 69970.

LCM(69960,69970) = 2³ × 3¹ × 5¹ × 11¹ × 53¹ × 6997¹
LCM(69960,69970) = 489510120