What is the Least Common Multiple of 24956 and 24968?
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 24956 and 24968 is 155775352.
LCM(24956,24968) = 155775352
Least Common Multiple of 24956 and 24968 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24956 and 24968, than apply into the LCM equation.
GCF(24956,24968) = 4
LCM(24956,24968) = ( 24956 × 24968) / 4
LCM(24956,24968) = 623101408 / 4
LCM(24956,24968) = 155775352
Least Common Multiple (LCM) of 24956 and 24968 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24956 and 24968. First we will calculate the prime factors of 24956 and 24968.
Prime Factorization of 24956
Prime factors of 24956 are 2, 17, 367. Prime factorization of 24956 in exponential form is:
24956 = 22 × 171 × 3671
Prime Factorization of 24968
Prime factors of 24968 are 2, 3121. Prime factorization of 24968 in exponential form is:
24968 = 23 × 31211
Now multiplying the highest exponent prime factors to calculate the LCM of 24956 and 24968.
LCM(24956,24968) = 23 × 171 × 3671 × 31211
LCM(24956,24968) = 155775352
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