What is the Least Common Multiple of 68923 and 68932?
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 68923 and 68932 is 4751000236.
LCM(68923,68932) = 4751000236
Least Common Multiple of 68923 and 68932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68923 and 68932, than apply into the LCM equation.
GCF(68923,68932) = 1
LCM(68923,68932) = ( 68923 × 68932) / 1
LCM(68923,68932) = 4751000236 / 1
LCM(68923,68932) = 4751000236
Least Common Multiple (LCM) of 68923 and 68932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68923 and 68932. First we will calculate the prime factors of 68923 and 68932.
Prime Factorization of 68923
Prime factors of 68923 are 157, 439. Prime factorization of 68923 in exponential form is:
68923 = 1571 × 4391
Prime Factorization of 68932
Prime factors of 68932 are 2, 19, 907. Prime factorization of 68932 in exponential form is:
68932 = 22 × 191 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 68923 and 68932.
LCM(68923,68932) = 1571 × 4391 × 22 × 191 × 9071
LCM(68923,68932) = 4751000236
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