What is the Least Common Multiple of 70455 and 70462?

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 70455 and 70462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70455 and 70462, than apply into the LCM equation.

GCF(70455,70462) = 7
LCM(70455,70462) = ( 70455 × 70462) / 7
LCM(70455,70462) = 4964400210 / 7
LCM(70455,70462) = 709200030

Least Common Multiple (LCM) of 70455 and 70462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70455 and 70462. First we will calculate the prime factors of 70455 and 70462.

Prime Factorization of 70455

Prime Factorization of 70462

Now multiplying the highest exponent prime factors to calculate the LCM of 70455 and 70462.

LCM(70455,70462) = 3¹ × 5¹ × 7² × 11¹ × 61¹ × 2¹ × 719¹
LCM(70455,70462) = 709200030