What is the Least Common Multiple of 67812 and 67821?
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 67812 and 67821 is 1533025884.
LCM(67812,67821) = 1533025884
Least Common Multiple of 67812 and 67821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67812 and 67821, than apply into the LCM equation.
GCF(67812,67821) = 3
LCM(67812,67821) = ( 67812 × 67821) / 3
LCM(67812,67821) = 4599077652 / 3
LCM(67812,67821) = 1533025884
Least Common Multiple (LCM) of 67812 and 67821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67812 and 67821. First we will calculate the prime factors of 67812 and 67821.
Prime Factorization of 67812
Prime factors of 67812 are 2, 3, 5651. Prime factorization of 67812 in exponential form is:
67812 = 22 × 31 × 56511
Prime Factorization of 67821
Prime factors of 67821 are 3, 13, 37, 47. Prime factorization of 67821 in exponential form is:
67821 = 31 × 131 × 371 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 67812 and 67821.
LCM(67812,67821) = 22 × 31 × 56511 × 131 × 371 × 471
LCM(67812,67821) = 1533025884
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