What is the Least Common Multiple of 52532 and 52551?
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 52532 and 52551 is 2760609132.
LCM(52532,52551) = 2760609132
Least Common Multiple of 52532 and 52551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52532 and 52551, than apply into the LCM equation.
GCF(52532,52551) = 1
LCM(52532,52551) = ( 52532 × 52551) / 1
LCM(52532,52551) = 2760609132 / 1
LCM(52532,52551) = 2760609132
Least Common Multiple (LCM) of 52532 and 52551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52532 and 52551. First we will calculate the prime factors of 52532 and 52551.
Prime Factorization of 52532
Prime factors of 52532 are 2, 23, 571. Prime factorization of 52532 in exponential form is:
52532 = 22 × 231 × 5711
Prime Factorization of 52551
Prime factors of 52551 are 3, 5839. Prime factorization of 52551 in exponential form is:
52551 = 32 × 58391
Now multiplying the highest exponent prime factors to calculate the LCM of 52532 and 52551.
LCM(52532,52551) = 22 × 231 × 5711 × 32 × 58391
LCM(52532,52551) = 2760609132
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