What is the Least Common Multiple of 15528 and 15536?
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 15528 and 15536 is 30155376.
LCM(15528,15536) = 30155376
Least Common Multiple of 15528 and 15536 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15528 and 15536, than apply into the LCM equation.
GCF(15528,15536) = 8
LCM(15528,15536) = ( 15528 × 15536) / 8
LCM(15528,15536) = 241243008 / 8
LCM(15528,15536) = 30155376
Least Common Multiple (LCM) of 15528 and 15536 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15528 and 15536. First we will calculate the prime factors of 15528 and 15536.
Prime Factorization of 15528
Prime factors of 15528 are 2, 3, 647. Prime factorization of 15528 in exponential form is:
15528 = 23 × 31 × 6471
Prime Factorization of 15536
Prime factors of 15536 are 2, 971. Prime factorization of 15536 in exponential form is:
15536 = 24 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 15528 and 15536.
LCM(15528,15536) = 24 × 31 × 6471 × 9711
LCM(15528,15536) = 30155376
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