What is the Least Common Multiple of 70770 and 70785?

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 70770 and 70785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70770 and 70785, than apply into the LCM equation.

GCF(70770,70785) = 15
LCM(70770,70785) = ( 70770 × 70785) / 15
LCM(70770,70785) = 5009454450 / 15
LCM(70770,70785) = 333963630

Least Common Multiple (LCM) of 70770 and 70785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70770 and 70785. First we will calculate the prime factors of 70770 and 70785.

Prime Factorization of 70770

Prime Factorization of 70785

Now multiplying the highest exponent prime factors to calculate the LCM of 70770 and 70785.

LCM(70770,70785) = 2¹ × 3² × 5¹ × 7¹ × 337¹ × 11² × 13¹
LCM(70770,70785) = 333963630