What is the Least Common Multiple of 77415 and 77430?

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 77415 and 77430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77415 and 77430, than apply into the LCM equation.

GCF(77415,77430) = 15
LCM(77415,77430) = ( 77415 × 77430) / 15
LCM(77415,77430) = 5994243450 / 15
LCM(77415,77430) = 399616230

Least Common Multiple (LCM) of 77415 and 77430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77415 and 77430. First we will calculate the prime factors of 77415 and 77430.

Prime Factorization of 77415

Prime Factorization of 77430

Now multiplying the highest exponent prime factors to calculate the LCM of 77415 and 77430.

LCM(77415,77430) = 3¹ × 5¹ × 13¹ × 397¹ × 2¹ × 29¹ × 89¹
LCM(77415,77430) = 399616230