What is the Least Common Multiple of 59970 and 59974?

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 59970 and 59974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59970 and 59974, than apply into the LCM equation.

GCF(59970,59974) = 2
LCM(59970,59974) = ( 59970 × 59974) / 2
LCM(59970,59974) = 3596640780 / 2
LCM(59970,59974) = 1798320390

Least Common Multiple (LCM) of 59970 and 59974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59970 and 59974. First we will calculate the prime factors of 59970 and 59974.

Prime Factorization of 59970

Prime Factorization of 59974

Now multiplying the highest exponent prime factors to calculate the LCM of 59970 and 59974.

LCM(59970,59974) = 2¹ × 3¹ × 5¹ × 1999¹ × 157¹ × 191¹
LCM(59970,59974) = 1798320390