What is the Least Common Multiple of 54219 and 54236?
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 54219 and 54236 is 2940621684.
LCM(54219,54236) = 2940621684
Least Common Multiple of 54219 and 54236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54219 and 54236, than apply into the LCM equation.
GCF(54219,54236) = 1
LCM(54219,54236) = ( 54219 × 54236) / 1
LCM(54219,54236) = 2940621684 / 1
LCM(54219,54236) = 2940621684
Least Common Multiple (LCM) of 54219 and 54236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54219 and 54236. First we will calculate the prime factors of 54219 and 54236.
Prime Factorization of 54219
Prime factors of 54219 are 3, 11, 31, 53. Prime factorization of 54219 in exponential form is:
54219 = 31 × 111 × 311 × 531
Prime Factorization of 54236
Prime factors of 54236 are 2, 7, 13, 149. Prime factorization of 54236 in exponential form is:
54236 = 22 × 71 × 131 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 54219 and 54236.
LCM(54219,54236) = 31 × 111 × 311 × 531 × 22 × 71 × 131 × 1491
LCM(54219,54236) = 2940621684
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