What is the Least Common Multiple of 15685 and 15690?
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 15685 and 15690 is 49219530.
LCM(15685,15690) = 49219530
Least Common Multiple of 15685 and 15690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15685 and 15690, than apply into the LCM equation.
GCF(15685,15690) = 5
LCM(15685,15690) = ( 15685 × 15690) / 5
LCM(15685,15690) = 246097650 / 5
LCM(15685,15690) = 49219530
Least Common Multiple (LCM) of 15685 and 15690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15685 and 15690. First we will calculate the prime factors of 15685 and 15690.
Prime Factorization of 15685
Prime factors of 15685 are 5, 3137. Prime factorization of 15685 in exponential form is:
15685 = 51 × 31371
Prime Factorization of 15690
Prime factors of 15690 are 2, 3, 5, 523. Prime factorization of 15690 in exponential form is:
15690 = 21 × 31 × 51 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 15685 and 15690.
LCM(15685,15690) = 51 × 31371 × 21 × 31 × 5231
LCM(15685,15690) = 49219530
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