What is the Least Common Multiple of 24755 and 24770?
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 24755 and 24770 is 122636270.
LCM(24755,24770) = 122636270
Least Common Multiple of 24755 and 24770 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24755 and 24770, than apply into the LCM equation.
GCF(24755,24770) = 5
LCM(24755,24770) = ( 24755 × 24770) / 5
LCM(24755,24770) = 613181350 / 5
LCM(24755,24770) = 122636270
Least Common Multiple (LCM) of 24755 and 24770 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24755 and 24770. First we will calculate the prime factors of 24755 and 24770.
Prime Factorization of 24755
Prime factors of 24755 are 5, 4951. Prime factorization of 24755 in exponential form is:
24755 = 51 × 49511
Prime Factorization of 24770
Prime factors of 24770 are 2, 5, 2477. Prime factorization of 24770 in exponential form is:
24770 = 21 × 51 × 24771
Now multiplying the highest exponent prime factors to calculate the LCM of 24755 and 24770.
LCM(24755,24770) = 51 × 49511 × 21 × 24771
LCM(24755,24770) = 122636270
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