What is the Least Common Multiple of 8685 and 8690?
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 8685 and 8690 is 15094530.
LCM(8685,8690) = 15094530
Least Common Multiple of 8685 and 8690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8685 and 8690, than apply into the LCM equation.
GCF(8685,8690) = 5
LCM(8685,8690) = ( 8685 × 8690) / 5
LCM(8685,8690) = 75472650 / 5
LCM(8685,8690) = 15094530
Least Common Multiple (LCM) of 8685 and 8690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8685 and 8690. First we will calculate the prime factors of 8685 and 8690.
Prime Factorization of 8685
Prime factors of 8685 are 3, 5, 193. Prime factorization of 8685 in exponential form is:
8685 = 32 × 51 × 1931
Prime Factorization of 8690
Prime factors of 8690 are 2, 5, 11, 79. Prime factorization of 8690 in exponential form is:
8690 = 21 × 51 × 111 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 8685 and 8690.
LCM(8685,8690) = 32 × 51 × 1931 × 21 × 111 × 791
LCM(8685,8690) = 15094530
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