What is the Least Common Multiple of 67092 and 67100?
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 67092 and 67100 is 1125468300.
LCM(67092,67100) = 1125468300
Least Common Multiple of 67092 and 67100 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67092 and 67100, than apply into the LCM equation.
GCF(67092,67100) = 4
LCM(67092,67100) = ( 67092 × 67100) / 4
LCM(67092,67100) = 4501873200 / 4
LCM(67092,67100) = 1125468300
Least Common Multiple (LCM) of 67092 and 67100 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67092 and 67100. First we will calculate the prime factors of 67092 and 67100.
Prime Factorization of 67092
Prime factors of 67092 are 2, 3, 5591. Prime factorization of 67092 in exponential form is:
67092 = 22 × 31 × 55911
Prime Factorization of 67100
Prime factors of 67100 are 2, 5, 11, 61. Prime factorization of 67100 in exponential form is:
67100 = 22 × 52 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 67092 and 67100.
LCM(67092,67100) = 22 × 31 × 55911 × 52 × 111 × 611
LCM(67092,67100) = 1125468300
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