What is the Least Common Multiple of 24685 and 24701?
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 24685 and 24701 is 609744185.
LCM(24685,24701) = 609744185
Least Common Multiple of 24685 and 24701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24685 and 24701, than apply into the LCM equation.
GCF(24685,24701) = 1
LCM(24685,24701) = ( 24685 × 24701) / 1
LCM(24685,24701) = 609744185 / 1
LCM(24685,24701) = 609744185
Least Common Multiple (LCM) of 24685 and 24701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24685 and 24701. First we will calculate the prime factors of 24685 and 24701.
Prime Factorization of 24685
Prime factors of 24685 are 5, 4937. Prime factorization of 24685 in exponential form is:
24685 = 51 × 49371
Prime Factorization of 24701
Prime factors of 24701 are 17, 1453. Prime factorization of 24701 in exponential form is:
24701 = 171 × 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 24685 and 24701.
LCM(24685,24701) = 51 × 49371 × 171 × 14531
LCM(24685,24701) = 609744185
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