What is the Least Common Multiple of 49224 and 49236?
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 49224 and 49236 is 201966072.
LCM(49224,49236) = 201966072
Least Common Multiple of 49224 and 49236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49224 and 49236, than apply into the LCM equation.
GCF(49224,49236) = 12
LCM(49224,49236) = ( 49224 × 49236) / 12
LCM(49224,49236) = 2423592864 / 12
LCM(49224,49236) = 201966072
Least Common Multiple (LCM) of 49224 and 49236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49224 and 49236. First we will calculate the prime factors of 49224 and 49236.
Prime Factorization of 49224
Prime factors of 49224 are 2, 3, 7, 293. Prime factorization of 49224 in exponential form is:
49224 = 23 × 31 × 71 × 2931
Prime Factorization of 49236
Prime factors of 49236 are 2, 3, 11, 373. Prime factorization of 49236 in exponential form is:
49236 = 22 × 31 × 111 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 49224 and 49236.
LCM(49224,49236) = 23 × 31 × 71 × 2931 × 111 × 3731
LCM(49224,49236) = 201966072
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