What is the Least Common Multiple of 15684 and 15692?
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 15684 and 15692 is 61528332.
LCM(15684,15692) = 61528332
Least Common Multiple of 15684 and 15692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15684 and 15692, than apply into the LCM equation.
GCF(15684,15692) = 4
LCM(15684,15692) = ( 15684 × 15692) / 4
LCM(15684,15692) = 246113328 / 4
LCM(15684,15692) = 61528332
Least Common Multiple (LCM) of 15684 and 15692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15684 and 15692. First we will calculate the prime factors of 15684 and 15692.
Prime Factorization of 15684
Prime factors of 15684 are 2, 3, 1307. Prime factorization of 15684 in exponential form is:
15684 = 22 × 31 × 13071
Prime Factorization of 15692
Prime factors of 15692 are 2, 3923. Prime factorization of 15692 in exponential form is:
15692 = 22 × 39231
Now multiplying the highest exponent prime factors to calculate the LCM of 15684 and 15692.
LCM(15684,15692) = 22 × 31 × 13071 × 39231
LCM(15684,15692) = 61528332
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