What is the Least Common Multiple of 4392 and 4411?
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 4392 and 4411 is 19373112.
LCM(4392,4411) = 19373112
Least Common Multiple of 4392 and 4411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4392 and 4411, than apply into the LCM equation.
GCF(4392,4411) = 1
LCM(4392,4411) = ( 4392 × 4411) / 1
LCM(4392,4411) = 19373112 / 1
LCM(4392,4411) = 19373112
Least Common Multiple (LCM) of 4392 and 4411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4392 and 4411. First we will calculate the prime factors of 4392 and 4411.
Prime Factorization of 4392
Prime factors of 4392 are 2, 3, 61. Prime factorization of 4392 in exponential form is:
4392 = 23 × 32 × 611
Prime Factorization of 4411
Prime factors of 4411 are 11, 401. Prime factorization of 4411 in exponential form is:
4411 = 111 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 4392 and 4411.
LCM(4392,4411) = 23 × 32 × 611 × 111 × 4011
LCM(4392,4411) = 19373112
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