What is the Least Common Multiple of 87030 and 87036?
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 (LCM) of 87030 and 87036 is 1262457180.
LCM(87030,87036) = 1262457180
Least Common Multiple of 87030 and 87036 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87030 and 87036, than apply into the LCM equation.
GCF(87030,87036) = 6
LCM(87030,87036) = ( 87030 × 87036) / 6
LCM(87030,87036) = 7574743080 / 6
LCM(87030,87036) = 1262457180
Least Common Multiple (LCM) of 87030 and 87036 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87030 and 87036. First we will calculate the prime factors of 87030 and 87036.
Prime Factorization of 87030
Prime factors of 87030 are 2, 3, 5, 967. Prime factorization of 87030 in exponential form is:
87030 = 21 × 32 × 51 × 9671
Prime Factorization of 87036
Prime factors of 87036 are 2, 3, 7253. Prime factorization of 87036 in exponential form is:
87036 = 22 × 31 × 72531
Now multiplying the highest exponent prime factors to calculate the LCM of 87030 and 87036.
LCM(87030,87036) = 22 × 32 × 51 × 9671 × 72531
LCM(87030,87036) = 1262457180
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