What is the Least Common Multiple of 4722 and 4732?
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 4722 and 4732 is 11172252.
LCM(4722,4732) = 11172252
Least Common Multiple of 4722 and 4732 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4722 and 4732, than apply into the LCM equation.
GCF(4722,4732) = 2
LCM(4722,4732) = ( 4722 × 4732) / 2
LCM(4722,4732) = 22344504 / 2
LCM(4722,4732) = 11172252
Least Common Multiple (LCM) of 4722 and 4732 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4722 and 4732. First we will calculate the prime factors of 4722 and 4732.
Prime Factorization of 4722
Prime factors of 4722 are 2, 3, 787. Prime factorization of 4722 in exponential form is:
4722 = 21 × 31 × 7871
Prime Factorization of 4732
Prime factors of 4732 are 2, 7, 13. Prime factorization of 4732 in exponential form is:
4732 = 22 × 71 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 4722 and 4732.
LCM(4722,4732) = 22 × 31 × 7871 × 71 × 132
LCM(4722,4732) = 11172252
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