What is the Least Common Multiple of 52612 and 52630?
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 52612 and 52630 is 1384484780.
LCM(52612,52630) = 1384484780
Least Common Multiple of 52612 and 52630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52612 and 52630, than apply into the LCM equation.
GCF(52612,52630) = 2
LCM(52612,52630) = ( 52612 × 52630) / 2
LCM(52612,52630) = 2768969560 / 2
LCM(52612,52630) = 1384484780
Least Common Multiple (LCM) of 52612 and 52630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52612 and 52630. First we will calculate the prime factors of 52612 and 52630.
Prime Factorization of 52612
Prime factors of 52612 are 2, 7, 1879. Prime factorization of 52612 in exponential form is:
52612 = 22 × 71 × 18791
Prime Factorization of 52630
Prime factors of 52630 are 2, 5, 19, 277. Prime factorization of 52630 in exponential form is:
52630 = 21 × 51 × 191 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 52612 and 52630.
LCM(52612,52630) = 22 × 71 × 18791 × 51 × 191 × 2771
LCM(52612,52630) = 1384484780
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