What is the Least Common Multiple of 86064 and 86070?

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 86064 and 86070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86064 and 86070, than apply into the LCM equation.

GCF(86064,86070) = 6
LCM(86064,86070) = ( 86064 × 86070) / 6
LCM(86064,86070) = 7407528480 / 6
LCM(86064,86070) = 1234588080

Least Common Multiple (LCM) of 86064 and 86070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86064 and 86070. First we will calculate the prime factors of 86064 and 86070.

Prime Factorization of 86064

Prime Factorization of 86070

Now multiplying the highest exponent prime factors to calculate the LCM of 86064 and 86070.

LCM(86064,86070) = 2⁴ × 3¹ × 11¹ × 163¹ × 5¹ × 19¹ × 151¹
LCM(86064,86070) = 1234588080